To find the mole fraction of ethanol in the mixture, you need to calculate the moles of ethanol and water first.
- Moles of Ethanol (C2H5OH):
- Given mass of ethanol = 20 g
- Formula mass of ethanol (C2H5OH) = 46 g/mol
- Moles of ethanol = (Given mass of ethanol) / (Formula mass of ethanol) = 20 g / 46 g/mol = 0.4348 moles
- Moles of Water (H2O):
- Given mass of water = 30 g
- Formula mass of water (H2O) = 18 g/mol
- Moles of water = (Given mass of water) / (Formula mass of water) = 30 g / 18 g/mol = 1.6667 moles
Now, calculate the mole fraction of ethanol:
Mole fraction of ethanol (X_ethanol) = (Moles of ethanol) / (Total moles in the mixture) = (0.4348 moles) / (0.4348 moles + 1.6667 moles) = 0.4348 /...